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Finding the Third Proportional to 216,709 and 287,626

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Solution

The third proportional to 216,709 and 287,626 is: 381,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,709 : 287,626 = 287,626 : x
  2. Step 2: Convert to fraction form
    216,709/287,626 = 287,626/x
  3. Step 3: Cross multiply
    216,709x = 287,626 × 287,626
  4. Step 4: Simplify right side
    216,709x = 82,728,715,876
  5. Step 5: Solve for x
    x = 82,728,715,876/216,709
  6. Step 6: Final answer
    x = 381,750.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.